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Finding the Fourth Proportional to 7,533, 11,291.40 and 3,367.29

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Solution

The fourth proportional to 7,533, 11,291.40 and 3,367.29 is: 5,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 11,291.40 = 3,367.29 : x
  2. Step 2: Convert to fraction form
    7,533/11,291.40 = 3,367.29/x
  3. Step 3: Cross multiply
    7,533x = 11,291.40 × 3,367.29
  4. Step 4: Simplify right side
    7,533x = 38,021,418.31
  5. Step 5: Solve for x
    x = 38,021,418.31/7,533
  6. Step 6: Final answer
    x = 5,047.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.